Modeling of Particulate Media Using Discontinuous Deformation Analysis
Publication: Journal of Engineering Mechanics
Volume 121, Issue 11
Abstract
This paper presents a complete formulation of the discontinuous deformation analysis for a particulate medium consisting exclusively of two-dimensional disks bounded by rigid boundaries. Particles are modeled as circular, rigid disks, and interactions, which are governed by Coulomb friction, are controlled through the use of contact normal and shear springs. The rigid boundaries can be fixed or assigned a velocity-time relationship; a variety of displacement constraints and damping terms are also modeled. Dynamic equilibrium is fully satisfied, and the no penetration and no tension interparticle constraints are essentially maintained throughout the analysis. The resulting computer code, DDAD, can be used to efficiently perform analyses; it serves as a versatile tool for modeling the complex behavior of granular materials.
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References
1.
Cundall, P. A., and Strack, O. D. L.(1979). “A discrete numerical model for granular assemblies.”Géotechnique, London, England, 29(1), 47–65.
2.
Cundall, P. A., and Strack, O. D. L. (1983). “Modeling of microscopic mechanisms in granular material.”Mechanics of granular materials: new models and constitutive relation, J. T. Jenkins and M. Satake, eds., Elsevier, Amsterdam, The Netherlands, 137–149.
3.
Dobry, R., and Ng, T.-T. (1992). “Discrete modelling of stress-strain behavior of granular media at small and large strains.”Engineering computations, Vol. 9, 129–143.
4.
Ke, T.-C. (1993). “Simulated testing of two-dimensional heterogeneous and discontinuous rock masses using discontinuous deformation analysis,” PhD thesis, Dept. of Civ. Engrg., Univ. of California, Berkeley.
5.
Ke, T.-C., and Bray, J. D. (1994). “DDAD—formulation and user manual.”Geotech. Engrg. Rep. No. UCB/GT/94-09, Univ. of California, Berkeley.
6.
Lambe, T. W., and Whitman, R. V. (1969). Soil mechanics . John Wiley & Sons, New York, N.Y., 195–198.
7.
Lin, H.-C. (1992). “Discontinuous deformation analyses of block and granular systems,” master thesis, Dept. of Civ. Engrg., Nat. Central Univ., Chung-Li, Taiwan.
8.
Meyerhof, G. G., and Adams, J. I.(1968). “The ultimate uplift capacity of foundations.”Can. Geotech. J., 5(4), 225–244.
9.
Mustoe, G. G. W., Williams, J. R., and Hocking, G. (1988). “The discrete element method in geotechnical engineering.”Dynamic behavior of foundations and buried structures, P. K. Banerjee and R. Butterfield, eds., Elsevier, Amsterdam, The Netherlands, 233–263.
10.
Ng, T.-T., and Dobry, R.(1994). “Numerical simulations of monotonic and cyclic loading of granular soil.”J. Geotech. Engrg., ASCE, 120(2), 388–403.
11.
Shi, G.-H., and Goodman, R. E. (1984). “Discontinuous deformation analysis.”Proc., 25th U.S. Symp. on Rock Mech., C. H. Dowding and M. M. Singh, eds., Soc. of Min. Engrs. of the Am. Inst. of Min. Metallurgical and Petroleum Engrs., Inc., New York, N.Y., 269–277.
12.
Shi, G.-H. (1988). “Discontinuous deformation analysis—a new numerical model for the statics and dynamics of block systems,” PhD thesis, Dept. of Civ. Engrg., Univ. of California, Berkeley.
13.
Shi, G., and Goodman, R. E. (1988). “Discontinuous deformation analysis; a new method for computing stress, strain and sliding of block systems.”Proc., 29th U.S. Symp. on Rock Mech., Minneapolis, Minn., P. A. Cundall, R. L. Sterling, and A. M. Starfield, eds., A. A. Balkema, Rotterdam, The Netherlands, 381–393.
14.
Shi, G., and Goodman, R. E.(1989). “Generalization of two-dimensional discontinuous deformation analysis for forward modelling.”Int. J. for Numerical and Analytical Methods in Geomech., 13(4), 359–380.
15.
Shi, G.-H. (1993). “Block system modeling by discontinuous deformation analysis.”Topics in engineering volume 11, C. A. Brebbia and J. J. Conner, eds., Computational Mechanics Publication, Boston, Mass.
16.
Ting, J. M., Corkum, B. T., Kauffman, C. R., and Greco, C.(1989). “Discrete numerical model for soil mechanics.”J. Geotech. Engrg., ASCE, 115(3), 379–398.
17.
Walton, O. R. (1993). “Numerical simulation of inclined chute flows of monodispersed, inelastic, frictional spheres.”Mech. of Mat., Vol. 16, 239–247.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 121 • Issue 11 • November 1995
Pages: 1234 - 1243
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Nov 1, 1995
Published in print: Nov 1995
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